Functional Analysis and Evolution Equations

by Amman, Herbert; Arendt, Wolfgang; Hieber, Matthias; Neubrander, Frank; Nicaise, Serge

• ISBN13: 9783764377939
• ISBN10: 3764377933
• Format: Hardcover
• Copyright: 2008-01-03
• Publisher: Birkhauser

Summary

Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.

Table of Contents

Portrait of Günter Lumer	p. viii
Life and Work of Günter Lumer	p. ix
In Remembrance of Günter Lumer	p. ixx
Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks	p. 1
Diffusion Equations with Finite Speed of Propagation	p. 17
Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle	p. 35
An Integral Equation in AeroElasticity	p. 51
Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators	p. 67
Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes	p. 83
Generation of Cosine Families on Lp(0,1) by Elliptic Operators with Robin Boundary Conditions	p. 113
Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation	p. 131
Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities	p. 147
On a Stochastic Parabolic Integral Equation	p. 157
Resolvent Estimates for a Perturbed Oseen Problem	p. 171
Abstract Delay Equations Inspired by Population Dynamics	p. 187
Weak Stability for Orbits of C0-semigroups on Banach Spaces	p. 201
Contraction Semigroups on L∞(R)	p. 209
On the Curve Shortening Flow with Triple Junction	p. 223
The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I	p. 239
Maximal Regularity of the Stokes Operator in General Unbounded Domains of <$>{\op R}^n<$>	p. 257
Linear Control Systems in Sequence Spaces	p. 273
On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid	p. 291
On the Stokes Resolvent Equations in Locally Uniform Lp Spaces in Exterior Domains	p. 307
Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II	p. 315
Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle	p. 331
No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation	p. 357
Mild Well-posedness of Abstract Differential Equations	p. 371
Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients	p. 389
Measure and Integral: New Foundations after One Hundred Years	p. 405
Post-Widder Inversion for Laplace Transforms of Hyperfunctions	p. 423
On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in <$>{\op R}^N<$>	p. 433
Time-dependent Nonlinear Perturbations of Analytic Semigroups	p. 457
A Variational Approach to Strongly Damped Wave Equations	p. 503
Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell's System with Memory Boundary Conditions	p. 515
Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function	p. 531
An Analysis of Asian options	p. 547
Linearized Stability and Regularity for Nonlinear Age-dependent Population Models	p. 561
Space Almost Periodic Solutions of Reaction Diffusion Equations	p. 577
On the Oseen Semigroup with Rotating Effect	p. 595
Exact Controllability in L2(¿) of the Schrödinger Equation in a Riemannian Manifold with L2(¿1)-Neumann Boundary Control	p. 613
List of Authors	p. 637
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